These vehicle are known to have bad engine troubles. Most likely the cam bearings are bad, if it was ran for a while after the problem occured, then the main bearings and crankshaft have been affected. The engine will have to come out. It is not a cheap repair. The value of the car is less than the repairs will cost.

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Hello williamfsper and thank you for asking your question, on Fixya.
It is most likely just the engine that is running just a bit warmer than usual causing the transmission to run hot.. The best way to fix that situation is to install a transmission cooler.

Here is a simple process that will walk you through a few steps that
will pinpoint the overheating problem on your 2001 Dodge Intrepid,
without even using any tools. It has helped millions of people, and I am
certain that it will help you, because I wrote it for people like you.
So here is the link:How to diagnose your overheating 2001 Dodge Intrepid

You either have a thermostat or water pump problem. car is getting hot. Check to make sure you have no water leaks on the hoses or radiator. to check the thermostat,run the engine for awhile to get it hot and touch the upper radiator hose to see if it is hot . If so then the thermostat is working and the problem would be the water pump. hope this will help you.

THIS ENGINE HAS THE TIMING BELT TENSIONER ON THAT SIDE, WHICH IS PRONE TO PROBLEMS ESPECIALLY IF YOU,RE NEGLEGENT WHEN IT COMES TO OIL CHANGES. IT,S NOT DIFFICULT TO REPLACE BUT THE FACT THE OIL LEVEL IS DOWN SUGGESTS OTHER ISSUES TOO, SO I'D TAKE IT LIKE A MAN AND RUN LIKE HELL FROM THIS CAR!